Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 2, Problem 2.4.27RE
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
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ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
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3 ARIZONA
0.707914 KANSAS
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4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 2 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 2.1 - Prob. 1TYCh. 2.1 - Prob. 2TYCh. 2.1 - Prob. 3TYCh. 2.1 - Prob. 4TYCh. 2.1 - Prob. 5TYCh. 2.1 - Prob. 6TYCh. 2.1 - Prob. 7TYCh. 2.1 - What are some benefits of representing data sets...Ch. 2.1 - Why should the number of classes in a frequency...Ch. 2.1 - What is the difference between class limits and...
Ch. 2.1 - What is the difference between relative frequency...Ch. 2.1 - After constructing an expanded frequency...Ch. 2.1 - What is the difference between a frequency polygon...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - Prob. 10ECh. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - Reading a Frequency Distribution In Exercises 15...Ch. 2.1 - Prob. 15ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - In Exercises 43 and 44, use the data set and the...Ch. 2.1 - Prob. 44ECh. 2.1 - What Would You Do? You work at a bank and are...Ch. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.2 - Prob. 1TYCh. 2.2 - Prob. 2TYCh. 2.2 - Prob. 3TYCh. 2.2 - Prob. 4TYCh. 2.2 - Prob. 5TYCh. 2.2 - Prob. 6TYCh. 2.2 - Prob. 7TYCh. 2.2 - Name some ways to display quantitative data...Ch. 2.2 - What is an advantage of using a stem-and-leaf plot...Ch. 2.2 - In terms of displaying data, how is a...Ch. 2.2 - How is a Pareto chart different from a standard...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Hourly Wages Use a scatter plot to display the...Ch. 2.2 - Salaries Use a scatter plot to display the data...Ch. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Favorite Day of the Week Display the data below in...Ch. 2.2 - A Misleading Graph? A misleading graph is not...Ch. 2.2 - Prob. 38ECh. 2.2 - A Misleading Graph? A misleading graph is not...Ch. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.3 - Find the mean of the points scored by the 51...Ch. 2.3 - Find the median of the points scored by the 51...Ch. 2.3 - The points scored by the winning teams in the...Ch. 2.3 - Find the mode of the points scored by the 51...Ch. 2.3 - In a survey, 1534 adults were asked, How much do...Ch. 2.3 - Remove the data entry 65 from the data set in...Ch. 2.3 - In Example 7, your grade in the two-credit course...Ch. 2.3 - Use a frequency distribution to estimate the mean...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - Constructing Data Sets In Exercises 58, construct...Ch. 2.3 - Constructing Data Sets In Exercises 58, construct...Ch. 2.3 - Mean is not representative of a typical number in...Ch. 2.3 - Prob. 8ECh. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Prob. 14ECh. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Graphical Analysis In Exercises 912, determine...Ch. 2.3 - Prob. 17ECh. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Prob. 31ECh. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Finding and Discussing the Mean, Median, and Mode...Ch. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - In Exercises 3740, without performing any...Ch. 2.3 - In Exercises 3740, without performing any...Ch. 2.3 - In Exercises 3740, without performing any...Ch. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Finding a Weighted Mean In Exercises 4146, find...Ch. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Identifying the Shape of a Distribution In...Ch. 2.3 - Identifying the Shape of a Distribution In...Ch. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.3 - Data Analysis Students in an experimental...Ch. 2.3 - Trimmed Mean To find the 10% trimmed mean of a...Ch. 2.3 - Specify the lower limit to be 1 and the upper...Ch. 2.3 - Specify the lower limit to be 0 and the upper...Ch. 2.4 - Prob. 1TYCh. 2.4 - Prob. 2TYCh. 2.4 - Prob. 3TYCh. 2.4 - Prob. 4TYCh. 2.4 - Prob. 5TYCh. 2.4 - Prob. 6TYCh. 2.4 - Prob. 7TYCh. 2.4 - Prob. 8TYCh. 2.4 - Prob. 9TYCh. 2.4 - Prob. 10TYCh. 2.4 - Explain how to find the range of a data set. What...Ch. 2.4 - Explain how to find the deviation of an entry in a...Ch. 2.4 - Why is the standard deviation used more frequently...Ch. 2.4 - Explain the relationship between variance and...Ch. 2.4 - Describe the difference between the calculation of...Ch. 2.4 - Given a data set. how do you know whether to...Ch. 2.4 - Discuss the similarities and the differences...Ch. 2.4 - What must you know about a data set before you can...Ch. 2.4 - Prob. 9ECh. 2.4 - Finding the Range of a Data Set In Exercises 9 and...Ch. 2.4 - Archaeology The depths (in inches) at which 10...Ch. 2.4 - In Exercise 11, compare your answer to part (a)...Ch. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Estimating Standard Deviation Both data sets shown...Ch. 2.4 - Estimating Standard Deviation Both data sets shown...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using Chebychevs Theorem You are conducting a...Ch. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Estimating the Sample Mean and Standard Deviation...Ch. 2.4 - Estimating the Sample Mean and Standard Deviation...Ch. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Specify the lower limit to be 10 and the upper...Ch. 2.4 - Specify the lower limit to be 30 and the upper...Ch. 2.4 - Prob. 1CSCh. 2.4 - Prob. 2CSCh. 2.4 - Prob. 3CSCh. 2.4 - Prob. 4CSCh. 2.4 - Prob. 5CSCh. 2.4 - Prob. 6CSCh. 2.5 - Prob. 1TYCh. 2.5 - Prob. 2TYCh. 2.5 - Prob. 3TYCh. 2.5 - Prob. 4TYCh. 2.5 - Prob. 5TYCh. 2.5 - Prob. 6TYCh. 2.5 - Prob. 7TYCh. 2.5 - Prob. 8TYCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Explain how to identify outliers using the...Ch. 2.5 - Describe the relationship between quartiles and...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - Finding Quartiles, Interquartile Range, and...Ch. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Prob. 20ECh. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Prob. 25ECh. 2.5 - Using Technology to Find Quartiles and Draw Graphs...Ch. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Life Spans of Tires A brand of automobile tire has...Ch. 2.5 - Life Spans of Fruit Flies The life spans of a...Ch. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Song Lengths Side-by-side box-and-whisker plots...Ch. 2.5 - Credit Card Purchases The credit card purchases...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2 - Prob. 2.1.1RECh. 2 - Prob. 2.1.2RECh. 2 - Prob. 2.1.3RECh. 2 - Prob. 2.1.4RECh. 2 - Prob. 2.1.5RECh. 2 - Prob. 2.1.6RECh. 2 - Prob. 2.2.7RECh. 2 - Prob. 2.2.8RECh. 2 - Prob. 2.2.9RECh. 2 - Prob. 2.2.10RECh. 2 - Prob. 2.2.11RECh. 2 - Prob. 2.2.12RECh. 2 - Prob. 2.3.13RECh. 2 - Prob. 2.3.14RECh. 2 - For the six test scores 78, 72, 86, 91, 87, and...Ch. 2 - For the four test scores 96, 85, 91, and 86, the...Ch. 2 - Estimate the mean of the frequency distribution...Ch. 2 - The frequency distribution shows the numbers of...Ch. 2 - Prob. 2.3.19RECh. 2 - Prob. 2.3.20RECh. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - Prob. 2.3.23RECh. 2 - For the histogram in Exercise 21, which is...Ch. 2 - In Exercises 25 and 26, find the range, mean,...Ch. 2 - Prob. 2.4.26RECh. 2 - Prob. 2.4.27RECh. 2 - Prob. 2.4.28RECh. 2 - Prob. 2.4.29RECh. 2 - Prob. 2.4.30RECh. 2 - Prob. 2.4.31RECh. 2 - Prob. 2.4.32RECh. 2 - From a random sample of households, the numbers of...Ch. 2 - From a random sample of airplanes, the numbers of...Ch. 2 - In Exercises 35 and 36, find the coefficient of...Ch. 2 - Prob. 2.4.36RECh. 2 - Prob. 2.5.37RECh. 2 - Prob. 2.5.38RECh. 2 - Prob. 2.5.39RECh. 2 - Prob. 2.5.40RECh. 2 - Prob. 2.5.41RECh. 2 - Prob. 2.5.42RECh. 2 - A students test grade of 75 represents the 65th...Ch. 2 - Prob. 2.5.44RECh. 2 - Prob. 2.5.45RECh. 2 - Prob. 2.5.46RECh. 2 - Prob. 2.5.47RECh. 2 - Prob. 2.5.48RECh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 1RSRDCh. 2 - Prob. 2RSRDCh. 2 - Prob. 3RSRDCh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - In Exercices 1 and 2, identify the sampling...Ch. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Tail lengths (in feet) for a sample of American...Ch. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CR
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